/**
 * Created by Administrator on 2016/5/15.
 */
public class EditDistance {
    public static void main (String[] args) {
        String word1 = "mart";
        String word2 = "karma";
        System.out.print(minDistance(word1, word2));
    }
    public static int minDistance(String word1, String word2) {
        if (word1.length() == 0) return word2.length();
        if (word2.length() == 0) return word1.length();

        int [][] dp = new int[word1.length() + 1][word2.length() + 1];
        for (int i = 0; i <= word1.length(); i++) {
            dp[i][0] = i;
        }
        for (int i = 0; i <= word2.length(); i++) {
            dp[0][i] = i;
        }

        for (int i = 1; i <= word1.length() ; i++) {
            for (int j = 1; j <= word2.length(); j++) {
                if (word1.charAt(i - 1) == word2.charAt(j - 1)) {
                    dp[i][j] = dp[i-1][j-1];
                } else {
                    dp[i][j] = Math.min(Math.min(dp[i - 1][j - 1], dp[i - 1][j]), dp[i][j - 1]) + 1;
                }
            }
        }
        return dp[word1.length()][word2.length()];
    }
}
